Asymptotic Methods in Short-Wavelength Diffraction Theory (Alpha Science Series on Wave Phenomena)

Asymptotic Methods in Short-Wavelength Diffraction Theory is dedicated to modern approaches of a high-frequency technique in diffraction theory. Among the considered topics are: the ray method, the parabolic equation approach, the method of etalon problems, an asymptotics of the Laplacian eigenfunctions and of the Green s function to the Helmholtz equation, the theory of high-frequency whispering-gallery waves. Recent results from the literature dealing with localized asymptotic solutions and uniform representation of a high-frequency wave-field are also reviewed. The monograph is addressed to the experts on electromagnetics, seismology and acoustics as well as to mathematicians interested in modern approaches of the mathematical physics.